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establishment by Diocletian

…After 287, he called himself Jovius (Jove) and Maximian was named Herculius (Hercules), signifying that they had been chosen by the gods and predestined as participants in the divine nature. Thus, they were charged with distributing the benefits of Providence, Diocletian through divine wisdom, and Maximian through heroic energy. Later…

role in Roman Empire

…Caesar Galerius, formed the “Jovii” dynasty, whereas Maximian and Constantius, claiming descent from the mythical hero Hercules, formed the “Herculii.” This “Epiphany of the Tetrarchs” served as the divine foundation of the regime. The ideological recourse to two traditional Roman divinities represented a break with the Orientalizing attempts of…